Academic Journal
Purely linear response of the quantum Hall current to space-adiabatic perturbations
| العنوان: | Purely linear response of the quantum Hall current to space-adiabatic perturbations |
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| المؤلفون: | Giovanna Marcelli, Domenico Monaco |
| المساهمون: | Marcelli, Giovanna, Monaco, Domenico |
| سنة النشر: | 2022 |
| المجموعة: | Sapienza Università di Roma: CINECA IRIS |
| مصطلحات موضوعية: | Linear response, quantum hall effect, space-adiabatic perturbation theory, non-equilibrium almost-stationary state, Chern marker |
| الوصف: | Using recently developed tools from space-adiabatic perturbation theory, in particular the construction of a non-equilibrium almost-stationary state, we give a new proof that the Kubo formula for the Hall conductivity remains valid beyond the linear response regime. In particular, we prove that, in quantum Hall systems and Chern insulators, the transverse response current is quantized up to any order in the strength of the inducing electric field. The latter is introduced as a perturbation to a periodic, spectrally gapped equilibrium Hamiltonian by means of a linear potential; existing proofs of the exactness of Kubo formula rely instead on a time-dependent magnetic potential. The result applies to both continuum and discrete crystalline systems modelling the quantum (anomalous) Hall effect. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000852520400001; volume:112; issue:5; journal:LETTERS IN MATHEMATICAL PHYSICS; https://hdl.handle.net/11573/1654082; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85138223165 |
| DOI: | 10.1007/s11005-022-01574-7 |
| الاتاحة: | https://hdl.handle.net/11573/1654082 https://doi.org/10.1007/s11005-022-01574-7 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.7580D33E |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s11005-022-01574-7 |
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